On the equation H = mv2 and the fine structure of the hydrogen atom
Document Type
Article
Publication Date
1-1-2002
Abstract
The recent [Phys. Essays 15, 1 (2002)] reconciliation of the theories of special relativity and wave mechanics implies that the mass-energy equivalence principle must be expressed mathematically as H = mv2, where H is the total energy of a particle, m is its relativistic mass, and v is its velocity, not as H = mc2, as was widely believed. In this paper the equation H = mv2 will be used to calculate the energy levels in the spectrum of the hydrogen atom. It is demonstrated that the well-known Sommerfeld-Dirac formula is still obtained, but without the constant term m0c 2 that was originally present in the formula.
Identifier
3843069688 (Scopus)
Publication Title
Physics Essays
External Full Text Location
https://doi.org/10.4006/1.3025551
ISSN
08361398
First Page
439
Last Page
443
Issue
4
Volume
15
Recommended Citation
Bakhoum, Ezzat G., "On the equation H = mv2 and the fine structure of the hydrogen atom" (2002). Faculty Publications. 14766.
https://digitalcommons.njit.edu/fac_pubs/14766
